erdos_304.variants.upper_1950

Specification

In 1950, Erdős [Er50c] proved the upper bound $$N(b) \ll \log b / \log \log b$$. [Er50c] Erdős, P., Az ${1}/{x_1} + {1}/{x_2} + \ldots + {1}/{x_n} =A/B$ egyenlet eg\'{E}sz sz\'{A}m\'{u} megold\'{A}sairól. Mat. Lapok (1950), 192-210.

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Lean 4 Statement

theorem erdos_304.variants.upper_1950 :
    (fun b => (smallestCollectionTo b : ℝ)) =O[atTop]
      (fun b => Real.log b / Real.log (Real.log b))

ID: ErdosProblems__304__erdos_304.variants.upper_1950

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